What is the Least Common Multiple of 84412 and 84431?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84412 and 84431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84412 and 84431, than apply into the LCM equation.

GCF(84412,84431) = 1
LCM(84412,84431) = ( 84412 × 84431) / 1
LCM(84412,84431) = 7126989572 / 1
LCM(84412,84431) = 7126989572

Least Common Multiple (LCM) of 84412 and 84431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84412 and 84431. First we will calculate the prime factors of 84412 and 84431.

Prime Factorization of 84412

Prime Factorization of 84431

Now multiplying the highest exponent prime factors to calculate the LCM of 84412 and 84431.

LCM(84412,84431) = 2² × 47¹ × 449¹ × 84431¹
LCM(84412,84431) = 7126989572